Path Intergal Evidence

Thomas Kitching, Andrew Taylor

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

Here we present a Bayesian formalism for the goodness of fit that is the evidence for a fixed functional form over the evidence for all functions that are a general perturbation about this form. This is done under the assumption that the statistical properties of the data can be modelled by a multivariate Gaussian distribution. We use this to show how one can optimize an experiment to find evidence for a fixed function over perturbations about this function. We apply this formalism to an illustrative problem of measuring perturbations in the dark energy equation of state about a cosmological constant.
Original languageEnglish
Pages (from-to)1519
JournalMonthly Notices of the Royal Astronomical Society
Volume452
Publication statusPublished - 1 Jul 2015

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